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2018

Randomized Benchmarking with Restricted Gate Sets

Brown, Winton G., Eastin, Bryan

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Standard randomized benchmarking protocols entail sampling from a unitary 2 design, which is not always practical.

In this article we examine randomized benchmarking protocols based on subgroups of the Clifford group that are not unitary 2 designs.
We introduce a general method for analyzing such protocols and subsequently apply it to two subgroups, the group generated by controlled-NOT, Hadamard, and Pauli gates and that generated by only controlled-NOT and Pauli gates.
In both cases the error probability can be estimated to within a factor of two or less where the factor can be arranged to be conservative and to decay exponentially in the number of qubits.

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